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svetlana [45]
3 years ago
9

Jeanette uses more yarn to knit a poncho than she uses to knit a scarf. Write an inequality to represent the amount of yarn Jean

ette uses to knit a poncho (p), and explain how to represent the inequality on a number line.
Mathematics
1 answer:
kow [346]3 years ago
7 0

Answer:

p > s

Step-by-step explanation:

Given

p \to poncho

s \to scarf

Required

The inequality

From the question, we understand that;

the number of p used is more than the number of s

<em>more than means greater than.</em>

So, the inequality is:

p > s

To represent this on a number line.

First, we identify the position of s (i.e. scarf)

p > s implies that p is any point to the right of s

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?​
Mrrafil [7]

Answer:

a_{n}=45-3n

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

a_{n} =a_{1} +(n-1)d\\

d is the common difference, can be found by:

d=a_{n}-a_{n-1}=-3

Subtituting the a_{1} and d

You get:

a_{n}=42+(-3)(n-1)=45-3n

Method 2 (Mathematical induction):

Assume it is in form a_{n}=45-3n

Base step: a_{1} =45-3(1)=42

Inducive hypophesis: a_{n}=45-3n

GIven: a_{n+1} =a_{n}-3

a_{n+1}=45-3n-3=45-3(n+1)

Proved by mathematical induction

a_{n}=45-3n

5 0
3 years ago
Please help!!!
V125BC [204]
Answer: 7 π r² + π r³

Explanation:

1) The general formula for the volumen, V, of a cylinder with radius r and height h is:

V = π r² h

2) Now you have the condition that the height is 7 inches greater than the radius, that is:

h = 7 + r

3) Replace h with its expression

V = π r² (7 + r)

4) Expand the product (use distributive property):

V = π (7r²) + π r³ = 7 π r² + π r³

Answer: 7 π r² + π r³

3 0
3 years ago
Help with this please lol
NeTakaya

Answer:

x = 107

Step-by-step explanation:

44+29+107=180

a triangle equals 180 with all the degrees added together :)

7 0
3 years ago
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Blue point➡️ Lowell➡️ Lexington
8 0
3 years ago
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Write an equation ​(a) in​ slope-intercept form and ​(b) in standard form for the line passing through ​(22​,99​) and perpendicu
liberstina [14]
Y-99=-1/33(x-22)

a). y = 1/33x + 98 1/3

b) 33y = x + 109 1/3
x - 33y = -109 1/3
5 0
3 years ago
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